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BITSAT2024PhysicsKinetic Theory of GasesActual

The temperature of an ideal gas is increased from 200 K to 800 K . If r.m.s. speed of gas at 200 K is v₀ . Then, r.m.s. speed of the gas at 800 K will be:

Options

  1. Av ₀
  2. B4 v₀
  3. Cv₀ 4
  4. D2 v ₀

Correct answer

D. 2 v ₀

Step-by-step solution

RMS speed, V _ rms = 3 RT M V _ mm T Here, T _ initiol =200 ~K T _ fing1 =800 ~K Initial RMS speed = v ₀ v₀ v_ rms = 200 800 v_ ms =2 v₀

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